Linear Equations and Matrix Algebra

From the study guide

Course Outline

  1. Linear Equations and Slopes
  2. Developing Line Equations
  3. Business Cost and Break-Even Models
  4. Matrix Basics and Operations
  5. Scalar and Matrix Multiplication
  6. Matrix Inverses and Row Operations
  7. Linear Systems and Gaussian Elimination
  8. Word Problems and Markov Chains
  9. Markov Chain Principles
  10. Linear Programming Model Structure
  11. Linear Programming Formulation
  12. Graphical Solution Method
  13. Slack and Surplus in Linear Programs
  14. The Simplex Algorithm
  15. Linear Programming Applications
  16. Interest and Time Value of Money
  17. Ordinary Annuities and Future Value
  18. Sinking Funds and Loan Payments

1. Linear Equations and Slopes

Key Concepts & Definitions

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Practice quiz preview

1. What distinguishes an algebraic expression from an equation?

2. Which statement best defines a linear equation?

3. What does the slope of a line measure?

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Flashcard preview

What is an algebraic expression?

A mathematical statement linking numerical quantities by operations.

What does an equation indicate about two algebraic expressions?

They are equal.

What characterizes a linear equation's variables?

They have degree one.

What types of terms does a linear equation contain?

Only constants or constants times one variable to the first power.

What does the slope of a line measure?

The change in Y relative to a one-unit change in X.

What else does the slope measure about a line?

The line's steepness.

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Frequently asked questions

What does the Linear Equations and Matrix Algebra study guide cover?

It covers the core concepts of Linear Equations and Matrix Algebra, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.

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How many questions are in the Linear Equations and Matrix Algebra quiz?

The practice quiz has 64 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

Take the quiz (64 questions) →

How do I study Linear Equations and Matrix Algebra with flashcards?

There are 94 flashcards on Linear Equations and Matrix Algebra, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.

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